3x-2/2x-1=x+10/x+7

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Solution for 3x-2/2x-1=x+10/x+7 equation:


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

3*x-((2/2)*x)-1 = x+10/x+7 // - x+10/x+7

3*x-((2/2)*x)-x-(10/x)-7-1 = 0

3*x-x-x-10*x^-1-7-1 = 0

1*x^1-10*x^-1-8*x^0 = 0

(1*x^2-8*x^1-10*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-8*x^1-10*x^0) = 0

x^1

x^2-8*x-10 = 0

x^2-8*x-10 = 0

DELTA = (-8)^2-(-10*1*4)

DELTA = 104

DELTA > 0

x = (104^(1/2)+8)/(1*2) or x = (8-104^(1/2))/(1*2)

x = (2*26^(1/2)+8)/2 or x = (8-2*26^(1/2))/2

x in { (8-2*26^(1/2))/2, (2*26^(1/2)+8)/2}

x in { (8-2*26^(1/2))/2, (2*26^(1/2)+8)/2 }

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